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Finding the Fourth Proportional to 1,049.66, 1,447.79 and 909.53

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Solution

The fourth proportional to 1,049.66, 1,447.79 and 909.53 is: 1,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.66 : 1,447.79 = 909.53 : x
  2. Step 2: Convert to fraction form
    1,049.66/1,447.79 = 909.53/x
  3. Step 3: Cross multiply
    1,049.66x = 1,447.79 × 909.53
  4. Step 4: Simplify right side
    1,049.66x = 1,316,796.65
  5. Step 5: Solve for x
    x = 1,316,796.65/1,049.66
  6. Step 6: Final answer
    x = 1,254.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.